Which of the following does not affect cusp height?

Cusp height in dentistry is influenced by several anatomical and functional factors related to occlusion and jaw movements. The intercondylar width refers to the distance between the condyles of the mandible when the jaw is in an open position. It relates to the overall size and shape of the temporomandibular joint but does not directly dictate the height of the cusps on the teeth.

In contrast, factors like condylar path inclination play a significant role in determining cusp height because they affect how the jaw moves and how teeth occlude during functional movements. Similarly, mandibular lateral translation is crucial as it influences how the cusps engage and how tall or short they may need to be for proper function. The angle of anterior guidance also significantly affects cusp height, as it determines the relationship of the anterior teeth during closure and can dictate the required cusp height to ensure adequate function without interference.

Given that intercondylar width does not influence these dynamic occlusal relationships directly, it is the factor that does not affect cusp height, making it the correct answer.